Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310l |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
270140062500 = 22 · 36 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15753,759256] |
[a1,a2,a3,a4,a6] |
j |
432288716775559561/270140062500 |
j-invariant |
L |
1.9378258174155 |
L(r)(E,1)/r! |
Ω |
0.96891290870773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
18480cc2 73920q2 6930ba2 11550bl2 |
Quadratic twists by: -4 8 -3 5 |